Details

This message is generated when the integration algorithm does not appear to be converging as quickly as expected.
Off[message] switches off the message; On[message] switches it on. For example: Off[NIntegrate::slwcon].

Examples

A warning message is generated because the integral has a singularity inside the integration region:

Wolfram Language code: NIntegrate[Log[(x - 1 / 3) ^ 2], {x, 0, 1}, PrecisionGoal -> 12, MaxRecursion -> 40]

The integral is computed without issuing the message if the singular point is specified in the integration range:

Wolfram Language code: NIntegrate[Log[(x - 1 / 3) ^ 2], {x, 0, 1 / 3, 1}, PrecisionGoal -> 12]

Alternatively, singular points can be specified as Exclusions:

Wolfram Language code: NIntegrate[Log[(x - 1 / 3) ^ 2], {x, 0, 1}, PrecisionGoal -> 12, Exclusions -> {1 / 3}]

NIntegrate returns a more precise result faster if the singular point is specified in the singular range:

Wolfram Language code:

NIntegrate[Log[(x - 1 / 3) ^ 2], {x, 0, 1}, PrecisionGoal -> 12, MaxRecursion -> 40] - (-2 + Log[(2 * 2 ^ (1 / 3)) / 9])//Timing

Wolfram Language code: NIntegrate[Log[(x - 1 / 3) ^ 2], {x, 0, 1 / 3, 1}, PrecisionGoal -> 12] - (-2 + Log[(2 * 2 ^ (1 / 3)) / 9])//Timing

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